13695146496 has 320 divisors, whose sum is σ = 44547148800. Its totient is φ = 4134924288.

The previous prime is 13695146453. The next prime is 13695146537. The reversal of 13695146496 is 69464159631.

It is a happy number.

13695146496 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 5 + 146 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6039955 + ... + 6042221.

It is an arithmetic number, because the mean of its divisors is an integer number (139209840).

Almost surely, 2^13695146496 is an apocalyptic number.

13695146496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13695146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22273574400).

13695146496 is an abundant number, since it is smaller than the sum of its proper divisors (30852002304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13695146496 is a wasteful number, since it uses less digits than its factorization.

13695146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2314 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 13695146496 in words is "thirteen billion, six hundred ninety-five million, one hundred forty-six thousand, four hundred ninety-six".